Laplace-Runge-Lenz vector, ladder operators and supersymmetry

R. D. Mota; J. García; V. D. Granados

doi:10.1088/0305-4470/34/10/308

Laplace-Runge-Lenz vector, ladder operators and supersymmetry

R. D. Mota, J. García, V. D. Granados

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

11 Citas (Scopus)

Resumen

We show that the Laplace-Runge-Lenz vector (LRLV) generates the Infeld-Hull radial factorization and the pair of isospectral Hamiltonians for the non-relativistic Kepler-Coulomb quantum problem. To do this we only use the LRLV and arguments of general soundness. Finally, the well known restrictions on the orbital angular momentum and the principal quantum numbers are rederived from the corresponding ladder operators.

Idioma original	Inglés
Páginas (desde-hasta)	2041-2049
Número de páginas	9
Publicación	Journal of Physics A: Mathematical and General
Volumen	34
N.º	10
DOI	https://doi.org/10.1088/0305-4470/34/10/308
Estado	Publicada - 16 mar. 2001
Publicado de forma externa	Sí

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abstract = "We show that the Laplace-Runge-Lenz vector (LRLV) generates the Infeld-Hull radial factorization and the pair of isospectral Hamiltonians for the non-relativistic Kepler-Coulomb quantum problem. To do this we only use the LRLV and arguments of general soundness. Finally, the well known restrictions on the orbital angular momentum and the principal quantum numbers are rederived from the corresponding ladder operators.",

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AU - García, J.

AU - Granados, V. D.

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N2 - We show that the Laplace-Runge-Lenz vector (LRLV) generates the Infeld-Hull radial factorization and the pair of isospectral Hamiltonians for the non-relativistic Kepler-Coulomb quantum problem. To do this we only use the LRLV and arguments of general soundness. Finally, the well known restrictions on the orbital angular momentum and the principal quantum numbers are rederived from the corresponding ladder operators.

AB - We show that the Laplace-Runge-Lenz vector (LRLV) generates the Infeld-Hull radial factorization and the pair of isospectral Hamiltonians for the non-relativistic Kepler-Coulomb quantum problem. To do this we only use the LRLV and arguments of general soundness. Finally, the well known restrictions on the orbital angular momentum and the principal quantum numbers are rederived from the corresponding ladder operators.

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Laplace-Runge-Lenz vector, ladder operators and supersymmetry

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